OFFSET
0,2
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..2806
Sergio Falcón, Binomial Transform of the Generalized k-Fibonacci Numbers, Communications in Mathematics and Applications (2019) Vol. 10, No. 3, 643-651.
Index entries for linear recurrences with constant coefficients, signature (4,-5,2,1)
FORMULA
G.f.: (1-x)^2/(1-4x+5x^2-2x^3-x^4);
a(n) = Sum_{k=0..n} Sum_{j=0..n-k} C(n-k, j)*C(k, j)*F(j);
a(n) = Sum_{k=0..n} C(n, k)*F(floor((k+2)/2)).
MATHEMATICA
LinearRecurrence[{4, -5, 2, 1}, {1, 2, 4, 8}, 30] (* Harvey P. Dale, Dec 07 2015 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Nov 16 2005
STATUS
approved